Search a number
-
+
203213502444544 = 210719320986011
BaseRepresentation
bin101110001101001001010100…
…101000000111010000000000
3222122112000120101102021022121
4232031021110220013100000
5203113422223111211134
62000110554431214024
760542456013361264
oct5615112450072000
9878460511367277
10203213502444544
11598283a94016a9
121a96017a977314
138950c4960c5b7
14382782bd980a4
1518760b2356ab4
hexb8d254a07400

203213502444544 has 88 divisors (see below), whose sum is σ = 406925042716800. Its totient is φ = 101432636129280.

The previous prime is 203213502444529. The next prime is 203213502444581. The reversal of 203213502444544 is 445444205312302.

It is a self number, because there is not a number n which added to its sum of digits gives 203213502444544.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2362602499 + ... + 2362688509.

Almost surely, 2203213502444544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203213502444544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203462521358400).

203213502444544 is an abundant number, since it is smaller than the sum of its proper divisors (203711540272256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

203213502444544 is an equidigital number, since it uses as much as digits as its factorization.

203213502444544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89959 (or 89941 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 43.

Adding to 203213502444544 its reverse (445444205312302), we get a palindrome (648657707756846).

The spelling of 203213502444544 in words is "two hundred three trillion, two hundred thirteen billion, five hundred two million, four hundred forty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 719 1024 1438 2876 3209 5752 6418 11504 12836 23008 25672 46016 51344 86011 92032 102688 172022 184064 205376 344044 368128 410752 688088 736256 821504 1376176 1643008 2307271 2752352 3286016 4614542 5504704 9229084 11009408 18458168 22018816 36916336 44037632 61841909 73832672 88075264 123683818 147665344 247367636 276009299 295330688 494735272 552018598 590661376 989470544 1104037196 1181322752 1978941088 2208074392 2362645504 3957882176 4416148784 7915764352 8832297568 15831528704 17664595136 31663057408 35329190272 63326114816 70658380544 141316761088 198450685981 282633522176 396901371962 793802743924 1587605487848 3175210975696 6350421951392 12700843902784 25401687805568 50803375611136 101606751222272 203213502444544